One-dimensional theory of hydrodynamic penetration for incompressible, inviscid conditions is re-visited to derive insightful relationships and provide a basis for discussing experimental observations. The 1-D Bernoulli equation produces simplified analytical relationships for such terms as the penetration depth, penetrator erosion rate, interface velocity, and other fundamental terms. Previous efforts [1,2] expanded this via a differential chain rule approach to establish relationships of energy and momentum flux and deposition rates of constant velocity and linear velocity gradient rod penetration events. A concise overview of the 1-D model is given followed by a selective grouping into relationships that might provide first-order criteria for making design considerations.
Analysis of Hydrodynamic Penetration and Material Backflow
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Lambert, D. "Analysis of Hydrodynamic Penetration and Material Backflow." Proceedings of the ASME 2007 Pressure Vessels and Piping Conference. Volume 4: Fluid-Structure Interaction. San Antonio, Texas, USA. July 22–26, 2007. pp. 189-193. ASME. https://doi.org/10.1115/PVP2007-26063
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